Question: Factorise:
x2 − 5x − 24
Solution:
The given expression is $x^{2}-5 x-24$.
Find two numbers that follow the conditions given below:
Sum $=-5$
Product $=-24$
Clearly, the numbers are $-8$ and 3 .
$x^{2}-5 x-24=x^{2}-8 x+3 x-24$
$=x(x-8)+3(x-8)$
$=(x-8)(x+3)$
